Positioning a Robot Ann Figure 10.2-2 shows a robot arm having two joints and two links. The angles of rotation of the motors at the joints are 8. and (h. From tri gonornetry we can derive the following expressions for the (x, y) coordinates of the hand: x = L, cos 9,...

Topping the Green Monster The Green Monster is a wall 37 ft high in left field at Fenway Park in Boston. The wall 310 ft from home plate down the left-field line, Assuming that the batter hits the ball above the ground, and neglecting air resistance, determine the...

Differential Equations A first-order ordinary differential equation (ODE) can be written in the form dy dt = f(t, y) where t is the independent variable and y is a function of t. A solution to such an equation is a function y = g(t) such that dgf dt = f(t, g), and the...

Laplace Transforms This section explains how to use the Laplace transform with MATLAB to solve some types of differential equations that cannot be solved with dsol ve. Application of the Laplace transform converts a linear differential equation problem into an...

Algebraic and Transcendental Equations The Symbolic Math toolbox can solve algebraic and transcendental equations, well as systems of such equations. A transcendentaL equation is one that contain one or more transcendental functions, such as sin x, e”, or log x....

Symbolic Expressions and Algebra The sym function can be used to create “symbolic objects” in MATLAB. If the input argument to sym is a string, the result is a symbolic number or variable. If the input argument is a numeric scalar or matrix, the result is...